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22440813181 is a prime number
BaseRepresentation
bin10100111001100100…
…111010001001111101
32010220221100102110221
4110321210322021331
5331424322010211
614150440301341
71423050523213
oct247144721175
963827312427
1022440813181
1195762880a6
124423471851
1321682832a7
14112c52acb3
158b51a4c71
hex53993a27d

22440813181 has 2 divisors, whose sum is σ = 22440813182. Its totient is φ = 22440813180.

The previous prime is 22440813149. The next prime is 22440813193. The reversal of 22440813181 is 18131804422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19397525625 + 3043287556 = 139275^2 + 55166^2 .

It is a cyclic number.

It is not a de Polignac number, because 22440813181 - 25 = 22440813149 is a prime.

It is a super-2 number, since 2×224408131812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22440853181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11220406590 + 11220406591.

It is an arithmetic number, because the mean of its divisors is an integer number (11220406591).

Almost surely, 222440813181 is an apocalyptic number.

It is an amenable number.

22440813181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22440813181 is an equidigital number, since it uses as much as digits as its factorization.

22440813181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 22440813181 in words is "twenty-two billion, four hundred forty million, eight hundred thirteen thousand, one hundred eighty-one".